Homework Help is Here – Start Your Trial Now!
Science
Physics
(7) A person walks at a rate of 3.10 m/s 40.0° south of west. (a) sketch a drawing showing this vector (b) determine the components of this vector in each direction (c) How long would it take to travel 50.0 meters south? (d) How far would that person have traveled west in that same amount of time?

(7) A person walks at a rate of 3.10 m/s 40.0° south of west. (a) sketch a drawing showing this vector (b) determine the components of this vector in each direction (c) How long would it take to travel 50.0 meters south? (d) How far would that person have traveled west in that same amount of time?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
Question
100%
**Problem: Vector Analysis** A person walks at a rate of 3.10 m/s, 40.0° south of west. (a) **Sketch a drawing showing this vector.** (b) **Determine the components of this vector in each direction.** (c) **How long would it take to travel 50.0 meters south?** (d) **How far would that person have traveled west in that same amount of time?** **Explanation for Diagrams:** Since there are no diagrams present in the image, we will focus on explaining the vector components. 1. **Vector Direction:** - The vector forms an angle of 40.0° with the westward direction, directed south of west. 2. **Component Calculation:** - The velocity vector can be broken into two components: - Westward (x-component) - Southward (y-component) - Use trigonometric functions to determine these components. - \( V_x = 3.10 \, \text{m/s} \times \cos(40.0^\circ) \) - \( V_y = 3.10 \, \text{m/s} \times \sin(40.0^\circ) \) 3. **Time Calculation for Part (c):** - Determine the time taken to travel 50.0 meters south using the southward velocity component: - \( t = \frac{50.0 \, \text{m}}{V_y} \) 4. **Distance Calculation for Part (d):** - Calculate the westward distance traveled in the same time period: - \( \text{Distance west} = V_x \times t \) This approach gives a comprehensive understanding of vector analysis and calculations.
Transcribed Image Text:**Problem: Vector Analysis** A person walks at a rate of 3.10 m/s, 40.0° south of west. (a) **Sketch a drawing showing this vector.** (b) **Determine the components of this vector in each direction.** (c) **How long would it take to travel 50.0 meters south?** (d) **How far would that person have traveled west in that same amount of time?** **Explanation for Diagrams:** Since there are no diagrams present in the image, we will focus on explaining the vector components. 1. **Vector Direction:** - The vector forms an angle of 40.0° with the westward direction, directed south of west. 2. **Component Calculation:** - The velocity vector can be broken into two components: - Westward (x-component) - Southward (y-component) - Use trigonometric functions to determine these components. - \( V_x = 3.10 \, \text{m/s} \times \cos(40.0^\circ) \) - \( V_y = 3.10 \, \text{m/s} \times \sin(40.0^\circ) \) 3. **Time Calculation for Part (c):** - Determine the time taken to travel 50.0 meters south using the southward velocity component: - \( t = \frac{50.0 \, \text{m}}{V_y} \) 4. **Distance Calculation for Part (d):** - Calculate the westward distance traveled in the same time period: - \( \text{Distance west} = V_x \times t \) This approach gives a comprehensive understanding of vector analysis and calculations.
Expert Solution
Step 1

Given that,

the magnitude of the velocity of the person is u=3.1m/s

And he moving in 40o south of west

 

a) and then a vector diagram for the motion of man will be

Physics homework question answer, step 1, image 1

where θ=40o

steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Vector basics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS